FPGA Implementation of Optimal 3D-Integer DCT Structure for Video Compression

Table 2

MSE and coding efficiency of 3D-integer DCT computed using direct method.

S. number	3D-integer DCT coefficients ()	Mean squared error	Coding efficiency (η)
	Real valued transform	0	74.8830
3-bit solution (multiplications: 30, additions: 78)
1	5 3 2 1 3 1 1	0.0133	70.1868
2	7 4 3 1 3 1 1	0.0155	69.1980
4-bit solution (multiplications: 48, additions: 78)
3	10 9 6 2 3 1 1	0.0014	74.8115
4	14 12 9 2 3 1 1	0.0024	74.0339
5	12 10 6 3 3 1 1	0.0022	73.3292
6	15 12 8 3 3 1 1	0.0014	73.9534
5-bit solution (multiplications: 48, additions: 78)
7	24 21 15 4 3 1 1	0.0017	74.4362
8	25 21 14 5 3 1 1	0.0010	74.4961
9	25 24 16 5 3 1 1	0.0026	74.7795
10	26 24 16 6 3 1 1	0.0019	74.4872
6-bit solution (multiplications: 48, additions: 78)
11	45 39 26 9 3 1 1	0.0011	74.7986
12	45 42 28 9 3 1 1	0.0019	74.9107
13	55 51 34 11 3 1 1	0.0018	74.9117
14	55 48 32 11 3 1 1	0.0011	74.8522
7-bit solution (multiplications: 48, additions: 78)
15	65 57 38 13 3 1 1	0.0011	74.8726
16	75 66 44 15 3 1 1	0.0011	74.8847
17	85 75 50 17 3 1 1	0.0012	74.8940
18	120 105 70 24 3 1 1	0.0011	74.8650
8-bit solution (multiplications: 48, additions: 78)
19	175 153 102 35 3 1 1	0.0011	74.8611
20	185 162 108 37 3 1 1	0.0011	74.8677
21	230 201 134 46 3 1 1	0.0011	74.8589
22	250 219 146 50 3 1 1	0.0011	74.8690